document.write( "Question 141324: Please help me solve this equation:\r
\n" ); document.write( "\n" ); document.write( "\"log%287%2C%28x%2B4%29%29+%2B+log%287%2C%28x-2%29%29+=+1\", \"x%3E2\"
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Algebra.Com's Answer #102971 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve this equation:\r
\n" ); document.write( "\n" ); document.write( "\"log%287%2C%28x%2B4%29%29+%2B+log%287%2C%28x-2%29%29+=+1\", \"x%3E2\"
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document.write( "Use this rule on the left side:\r\n" );
document.write( "               \"log%28B%2CA%29+%2B+log%28B%2CC%29=log%28B%2C%28AC%29%29\"\r\n" );
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document.write( "\"log%287%2C%28%28x%2B4%29%28x-2%29%29%29+=+1\", \"x%3E2\"\r\n" );
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document.write( "Now use this rule to rewrite the equation:\r\n" );
document.write( "               \"log%28B%2CA%29=C\" is equivalent to \"B%5EC=A%29\"\r\n" );
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document.write( "\"7%5E1=%28x%2B4%29%28x-2%29\", \"x%3E2\"\r\n" );
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document.write( "Simplify, FOIL out the right side:\r\n" );
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document.write( "\"7=x%5E2-2x%2B4x-8\", \"x%3E2\" \r\n" );
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document.write( "\"7=x%5E2%2B2x-8\", \"x%3E2\"\r\n" );
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document.write( "Get \"0\" on the left by subtracting\r\n" );
document.write( "7 from both sides:\r\n" );
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document.write( "\"0=x%5E2%2B2x-8-7\", \"x%3E2\"\r\n" );
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document.write( "\"0=x%5E2%2B2x-15\", \"x%3E2\"\r\n" );
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document.write( "Factor the right side:\r\n" );
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document.write( "\"0=%28x-3%29%28x%2B5%29\", \"x%3E2\"\r\n" );
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document.write( "Use the zero-factor principle:\r\n" );
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document.write( "x-3=0 gives x=3\r\n" );
document.write( "x+5=0 gives x=-5\r\n" );
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document.write( "However we must discard that second answer\r\n" );
document.write( "because we are given the restriction that \"x%3E2\"\r\n" );
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document.write( "So the only solution is \"x=3\"\r\n" );
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document.write( "Edwin
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